Infinitesimally Central Extensions of Chevalley Groups

W. L. J. van der Kallen (auth.)9780387065595, 0-387-06559-8

Table of contents :
Conventions….Pages 1-1
Universal central extensions. Central trick….Pages 2-5
Degenerate sums. The extension r : $$underset{raise0.3emhbox{$smash{scriptscriptstyle-}$}}{g} ‘mathbb{Z} to underset{raise0.3emhbox{$smash{scriptscriptstyle-}$}}{g} mathbb{Z}$$ ….Pages 5-22
The action Âd. Structure of g* Z , g* R ….Pages 22-38
Admissible lattices and the category L V . Σ-connected components….Pages 39-46
The G-module ker π….Pages 46-51
G-invariant [p]-structures….Pages 51-54
The extension φ : G* → G….Pages 54-59
Extensions of G by a G-module….Pages 59-61
The hochschild groups….Pages 61-65
The existence of φ : G* → G….Pages 65-97
Relations in the open cell….Pages 97-118
Representatives in G* of the Weyl group….Pages 119-124
The theorem of generators and relations and its consequences….Pages 124-138
The group functor G*….Pages 138-140